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Finding the Fourth Proportional to 512.49, 767.10 and 447.30

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Solution

The fourth proportional to 512.49, 767.10 and 447.30 is: 669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.49 : 767.10 = 447.30 : x
  2. Step 2: Convert to fraction form
    512.49/767.10 = 447.30/x
  3. Step 3: Cross multiply
    512.49x = 767.10 × 447.30
  4. Step 4: Simplify right side
    512.49x = 343,123.83
  5. Step 5: Solve for x
    x = 343,123.83/512.49
  6. Step 6: Final answer
    x = 669.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.